42441435040 has 72 divisors (see below), whose sum is σ = 103844957580. Its totient is φ = 16391122944.

The previous prime is 42441435013. The next prime is 42441435097. The reversal of 42441435040 is 4053414424.

42441435040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9094292496 + 33347142544 = 95364^2 + 182612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42441434993 and 42441435011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23145 + ... + 292264.

Almost surely, 2^42441435040 is an apocalyptic number.

42441435040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42441435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51922478790).

42441435040 is an abundant number, since it is smaller than the sum of its proper divisors (61403522540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42441435040 is a wasteful number, since it uses less digits than its factorization.

42441435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315482 (or 315445 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 42441435040 its reverse (4053414424), we get a palindrome (46494849464).

It can be divided in two parts, 42441 and 435040, that added together give a square (477481 = 691²).

The spelling of 42441435040 in words is "forty-two billion, four hundred forty-one million, four hundred thirty-five thousand, forty".